Search a number
-
+
1293016101 = 313196192819
BaseRepresentation
bin100110100010001…
…1101110000100101
310100010001000122020
41031010131300211
510122003003401
6332145453353
744020312146
oct11504356045
93303030566
101293016101
11603968153
12301041259
13177b611b0
14c3a23acd
15787b0d36
hex4d11dc25

1293016101 has 32 divisors (see below), whose sum is σ = 1958208000. Its totient is φ = 752338368.

The previous prime is 1293016031. The next prime is 1293016103. The reversal of 1293016101 is 1016103921.

It is not a de Polignac number, because 1293016101 - 27 = 1293015973 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1293016103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457270 + ... + 460088.

It is an arithmetic number, because the mean of its divisors is an integer number (61194000).

Almost surely, 21293016101 is an apocalyptic number.

It is an amenable number.

1293016101 is a deficient number, since it is larger than the sum of its proper divisors (665191899).

1293016101 is a wasteful number, since it uses less digits than its factorization.

1293016101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3473.

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 1293016101 is about 35958.5330763089. The cubic root of 1293016101 is about 1089.4349682118.

The spelling of 1293016101 in words is "one billion, two hundred ninety-three million, sixteen thousand, one hundred one".

Divisors: 1 3 13 19 39 57 247 619 741 1857 2819 8047 8457 11761 24141 35283 36647 53561 109941 152893 160683 458679 696293 1744961 2088879 5234883 22684493 33154259 68053479 99462777 431005367 1293016101